Interplay of superradiance and disorder in the Anderson Model

TL;DR

This paper investigates how disorder and superradiance interact in a one-dimensional Anderson model using a non-Hermitian Hamiltonian approach, revealing a transition to superradiance and differing sensitivities of eigenstates to disorder.

Contribution

It introduces a non-Hermitian framework to analyze the interplay of disorder and superradiance, highlighting the distinct behaviors of superradiant and subradiant states.

Findings

Superradiant regime transition identified via complex eigenvalues.

Superradiant states remain delocalized despite increasing disorder.

Subradiant states are highly sensitive to disorder.

Abstract

Using a non-Hermitian Hamiltonian approach to open systems, we study the interplay of disorder and superradiance in a one-dimensional Anderson model. Analyzing the complex eigenvalues of the non-Hermitian Hamiltonian, a transition to a superradiant regime is shown to occur. As an effect of openness the structure of eigenstates undergoes a strong change in the superradiant regime: we show that the sensitivity to disorder of the superradiant and the subradiant subspaces is very different; superradiant states remain delocalized as disorder increases, while subradiant states are sensitive to the degree of disorder.